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Cerebral Cortex Advance Access originally published online on November 23, 2005
Cerebral Cortex 2006 16(9):1338-1348; doi:10.1093/cercor/bhj075
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Neural Correlates of the Spontaneous Phase Transition during Bimanual Coordination

Yu Aramaki1,2, Manabu Honda1,3,5, Tomohisa Okada1 and Norihiro Sadato1,2,4

1 Department of Cerebral Research, National Institute for Physiological Sciences, 38 Nishigonaka, Myodaijicho, Okazaki, Aichi 444-8585, Japan, 2 Research Institute of Science and Technology for Society and 3 Solution Oriented Research for Science and Technology, Japan Science and Technology Agency, Kawaguchi, Saitama 332-0012, Japan, 4 Department of Functional Neuroimaging, Faculty of Medical Sciences, University of Fukui, Fukui 910-1193, Japan, and 5 Department of Cortical Function Disorders, National Institute of Neuroscience, National Center for Neurology and Psychiatry, Tokyo 187-8502, Japan

Address correspondence to Dr Norihiro Sadato, MD, PhD, Division of Cerebral Integration, Department of Cerebral Research, National Institute for Physiological Sciences, 38 Nishigonaka, Myodaijicho, Okazaki 444-8585, Japan. Email: sadato{at}nips.ac.jp.


    Abstract
 Top
 Notes
 Abstract
 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
Repetitive bimanual finger-tapping movements tend toward mirror symmetry: There is a spontaneous transition from less stable asymmetrical movement patterns to more stable symmetrical ones under frequency stress but not vice versa. During this phase transition, the interaction between the signals controlling each hand (cross talk) is expected to be prominent. To depict the regions of the brain in which cortical cross talk occurs during bimanual coordination, we conducted event-related functional magnetic resonance imaging using a bimanual repetitive-tapping task. Transition-related activity was found in the following areas: the bilateral ventral premotor cortex, inferior frontal gyrus, middle frontal gyrus, inferior parietal lobule, insula, and thalamus; the right rostral portion of the dorsal premotor cortex and midbrain; the left cerebellum; and the presupplementary motor area, rostral cingulate zone, and corpus callosum. These regions were discrete from those activated by bimanual movement execution. The phase-transition–related activation was right lateralized in the prefrontal, premotor, and parietal regions. These findings suggest that the cortical neural cross talk occurs in the distributed networks upstream of the primary motor cortex through asymmetric interhemispheric interaction.

Key Words: bimanual coordination • fMRI • interhemispheric interaction • spontaneous phase transition


    Introduction
 Top
 Notes
 Abstract
 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
The human body has a large number of degrees of freedom. However, these are limited by neural constraints, as well as muscular and perceptual influences on pattern stability. For example, patterns of bimanual coordination in which homologous muscles are active simultaneously are more stable than those in which homologous muscles are engaged in an alternating fashion (egocentric constraint; Swinnen and others 1997Go). This is demonstrated dramatically by the phase transition during bimanual movement: If a subject performs a movement in the asymmetrical mode, increasing the movement frequency ultimately results in a phase transition toward the more stable mirror-symmetrical mode, but the opposite transition does not occur (Kelso 1984Go). This bimanual interaction was first formalized theoretically at the behavioral level by dynamic systems theory (Haken and others 1985Go; Schöner and Kelso 1988Go). While investigating this phase transition from the "unstable" to the stable phases of the bimanual finger-tapping task, Meyer-Lindenberg and others (2002)Go demonstrated the neuronal dynamics conforming to the predictions made by the nonlinear system theory. First, using positron emission tomography, they depicted the cortical regions related to the degree of behavioral instability, assuming that these unstable areas increase their neural activities as the frequency of the movement increases. Within these areas, they found that a minor disruption by double-pulse transcranial magnetic stimulation to the right dorsal premotor cortex (PMd) evoked large-scale phase transitions in participants' performances.

As well as dynamic systems theory, several theoretical models have been proposed to formalize the process of bimanual coordination (de Oliveira 2002Go). First, the strong tendency toward spatiotemporal similarity in bimanual movements has led to the proposal that a common motor plan exists for both limbs within the framework of generalized motor programs (GMPs; Schmidt 1975Go) that specify the entire "shape" of a movement even before its execution begins. By contrast, the concept of intermanual cross talk maintains that 2 independent motor plans exist (Marteniuk and MacKenzie 1980Go). Interactions between the movements of the 2 arms are assumed to result from cross talk at multiple levels between the signals controlling the 2 arms. The lowest level of cross talk supposedly occurs downstream from the specification of movement parameters, possibly through the ipsilateral corticospinal tract (Cattaert and others 1999Go). Although each hand is mainly controlled by the contralateral hemisphere, there is also an ipsilateral influence that is integrated with the contralateral one. This ipsilateral influence alters the muscular activation, and as a result, the movement that each arm performs becomes slightly similar to the movement of the opposite arm (Carson 2005Go). In addition, cross talk might also occur at a higher level because the neural population coding in the parietal, premotor, and primary motor cortices (M1) corresponds to the direction of movement of the contralateral hand (Georgopoulos and others 1986Go; Kalaska and others 1997Go; Kakei and others 1999Go). Thus, a combined GMP/cross-talk model is possible. In such a combined model, the GMP might be created at a hierarchically higher level than the programs for the 2 arms, providing a functional scheme that has traits of both 1 common and 2 separate motor plans.

The cross-talk model successfully formalized the spontaneous phase transition. Cattaert and others (1999)Go replicated the spontaneous phase transition in cyclical movements using a cross-talk model simulation in which a percentage of the force command is dispatched to the other limb. However, the neural substrates underlying the phase transition are as yet unknown.

The aim of the present study was to delineate the neural substrates of bimanual interaction during the spontaneous phase transition using event-related functional magnetic resonance imaging (fMRI). Within the framework of the cross-talk model, the moment of the phase transition from the parallel to mirror mode is regarded as cross talk. Because the synaptic firing rate increases as the system nears the transition point (Rose and Siebler 1995Go), the collective change in neural activity during the spontaneous phase transition is expected to represent the locations where the cortical neural cross talk primarily occurs.

Our hypothesis was that the spontaneous phase transition might be represented by bihemispheric asymmetrical neural substrates upstream of M1. We have several reasons for this prediction. First, interhemispheric interaction through the corpus callosum (CC) is related to the spontaneous phase transition from the stable to the unstable mode. Kennerley and others (2002)Go investigated the role of the CC in spatial coupling during continuous bimanual circle drawing. Spatial coupling is inferred by the reduced stability observed when the circles are produced asymmetrically (nonhomologous movements) compared with when the movements are symmetrical (homologous movements). In the asymmetric condition, the control participants showed occasional phase transitions toward the more stable symmetric mode. By contrast, the callosotomy patients were equally likely to exhibit phase transitions in the symmetric condition as in the asymmetric condition. Hence, it is expected that the neural substrates of the spontaneous phase transition will be distributed in both hemispheres as a result of interhemispheric interaction. Second, in the bimanual circle-drawing task, the reversal in direction during the antiphase mode was partly associated with the nondominant hand (Walter and Swinnen 1992Go; Byblow and others 1994Go, 1998Go, 2000Go; Sherwood 1994Go; Semjen and others 1995Go; Treffner and Turvey 1995Go; Rogers and others 1998Go; Garry and Franks 2000Go), suggesting asymmetry in the neural substrates of cross talk. Lastly, clinical and imaging studies have indicated left-hemisphere dominance in the representation of motor skill (Sirigu and others 1996Go; Haaland and others 2000Go), including that of bimanual coordination (Serrien and others 2001Go). Based on a functional scheme that has traits of both 1 common and 2 separate motor plans, neural cross talk is expected to be asymmetrical.


    Materials and Methods
 Top
 Notes
 Abstract
 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
Participants

Fifteen subjects (age range, 24–31 years; mean ± SD, 26.7 ± 2.12 years; 9 men and 6 women) participated in this study. The subjects were all right handed according to the Edinburgh Handedness Inventory (Oldfield 1971Go). The mean handedness score was 0.92 ± 0.09 (mean ± SD). The protocol was approved by the ethical committee of the National Institute for Physiological Sciences, Japan. All subjects gave their written informed consent for the study.

Magnetic Resonance Imaging

A time course series of 400 volumes was acquired in 1 session using T2*-weighted gradient echo-planar imaging (EPI) sequences with a 3.0-T magnetic resonance (MR) imager (Allegra; Siemens, Erlangen, Germany). Each volume consisted of 26 axial slices with a slice thickness of 6 mm and no gap, which included the entire cerebral cortex and cerebellum. The time interval between 2 successive acquisitions of the same image was 1500 ms, and the echo time was 30 ms (flip angle, 70°). The field of view was 192 mm, and the in-plane matrix size was 64 x 64 pixels, with a pixel dimension of 3 x 3 mm.

For anatomical reference, T1-weighted images were obtained from each subject with location variables identical to those of the EPIs. In addition, three-dimensional (3D) high-resolution T1-weighted images (magnetization-prepared rapid acquisition in gradient echo [MPRAGE]) were obtained. A total of 192 transaxial slices were acquired. The in-plane matrix size was 256 x 256, the slice thickness was 1 mm, and the pixel size was 0.898 x 0.898 mm.

Tasks

Subjects performed the bimanual rhythmic finger-tapping task using their index and middle fingers (Fig. 1). Two USB magnetic resonance imaging (MRI)–compatible 10-key pads (TK-UYGT, ELECOM, Osaka, Japan) connected to a personal computer (Dimension 8200; Dell Computer Co., Texas) were used to record the finger taps. For right-handed finger taps, the keys "1" (for the index finger) and "3" (for the middle finger) of the 10-key pad were used. For the left hand, the keys "7" (for the index finger) and "9" (for the middle finger) of another 10-key pad were pressed. We defined 2 coordination modes in the present study: the "mirror" and "parallel" modes. The mirror mode was defined as the synchronous tapping of both index fingers alternating periodically with the synchronous tapping of both middle fingers: (_I x I_), (M_ x _M), (_I x I_), and so on. The parallel mode was defined as the synchronous tapping of the left middle and right index fingers, which alternated periodically with the synchronous tapping of the left index and right middle fingers: (M_ x I_), (_I x _M), (M_ x I_), and so on (Mechsner and others 2001Go).


Figure 1
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Figure 1. (a) Time sequence of the bimanual finger-tapping data during the fMRI experiment at different timescales, with wide (top; 40 s), medium (middle; 8 s), and narrow (bottom; 1 s) ranges around the phase transition. Open red, closed red, open blue, and closed blue symbols show the left index, left middle, right index, and right middle fingers, respectively. Dashed and solid circles show the phase-transition time of each finger as denoted in Materials and Methods. We selected the first time point (solid circle) as the phase-transition time of the trial. (b) Tapping-time differences between the RI and the corresponding LM finger (closed green circle) and between the RI and the corresponding LI finger (open green circle) in the medium range timescale (8 s) around the phase transition.

 
It is well known that the phase transition from the parallel to the mirror mode is frequency dependent: the faster the movement, the earlier the mode conversion occurs (Kelso 1984Go). Because the aim of this study was to investigate the state-related brain activity (i.e., in the parallel vs. mirror mode) as well as the phase-transition–related activity, we set the movement frequency so that the subjects could maintain the parallel mode for more than 10 s. Prior to the fMRI experiment, the subjects were trained to perform auditory-cued (260 Hz and 50 ms) bimanual rhythmic-tapping tasks in a supine position. Auditory cues were provided by Presentation software (Neurobehavioural Systems, Albany, California), which was also used to record the timing of the key presses. The subjects were required to gaze at the fixation point and, hence, could not see their own hands. The subjects always began with the parallel mode. The instructions to the subjects emphasized that when the phase transition from the parallel to the mirror mode occurred, they should maintain the mirror-mode movements. We set 5 different levels of movement frequencies, ranging from 2 to 4 Hz or from 3 to 5 Hz at 0.5-Hz increments, in order to determine the frequency at which each subject made the spontaneous phase transition from parallel to mirror mode after 10–20 s. Subjects performed 10 trials at each frequency. If more than 1 frequency level passed the criterion, we used the highest frequency for the fMRI experiment.

Functional Magnetic Resonance Imaging

In the fMRI experiment, the subjects underwent the same auditory-cued bimanual rhythmic-tapping tasks in a supine position. To minimize head motion, we used tight but comfortable foam padding placed around the subject's head. A liquid crystal display projector (DLA-M200L; Victor, Yokohama, Japan) located outside and behind the scanner projected a crosshair fixation point through another waveguide to a translucent screen, which the subject viewed via a mirror attached to the head coil of the MRI scanner. Similar to the practice condition, the subjects were required to fixate the crosshair on the screen and, hence, could not see their own hands. The subjects' hands were placed on the 10-key pads connected to a personal computer to record their responses. The predetermined frequency of the cued movement was 3.8 ± 0.62 Hz (mean ± SD), which varied across the subjects. Auditory cues were provided by the Presentation software, which was also used to record the timing of the key presses. Each subject started the parallel movement when the experimenter touched their foot. The experimenter carefully monitored the finger movements of the subject to detect any sudden changes in the coordination patterns. Approximately 20 s after the transition, the experimenter touched the foot of the subject to signal them to terminate the movement. The next trial started approximately 20 s after the termination of the previous trial. Between 7 and 10 trials were repeated during each 10-min session. The auditory cue was provided continuously throughout the scanning session. The session was repeated four times for each subject. Instructions to the subject emphasized that their task was to keep up with the pacing signal and that if an involuntary switch from the parallel to the mirror pattern occurred, they should maintain the mirror pattern.

Behavioral Data Analysis

Definition of the Time of Phase Transition

In this study, we defined the point at which the phase transition occurred as follows. If the subject maintained the mirror mode, the timing of the key press of the right index finger would be closer to that of the key press of the left index finger than that of the left middle finger. The following inequality should therefore be fulfilled:

Formula 1(1)
Here, RI(i) is the time of the i-th key press of the right index finger, and LM and LI are vectors of all the key-press times of the left middle and index fingers, respectively. Therefore, the first time point (min RI(i)) fulfilling equation (1) can be considered the transition time (T) of the right index finger from the parallel to the mirror mode. A similar calculation was performed for the other 3 fingers in order to define the discrete time series of each (RM(j), LI(k), and LM(m)):

Formula 2(2)

Formula 3(3)

Formula 4(4)
For the right index finger, min RM(i), min LI(k), and min LM(m) were defined as the T values of the right middle, left index, and left middle fingers, respectively. The T value was defined as the latest T among the 4 fingers (Fig. 1):

Formula 5(5)

Calculation of Behavioral Asymmetry in the Phase Transition

At the phase transition, irregularities should be observed in the intertap intervals of both or either hands. Previous behavioral studies have reported how the nondominant hand contributes to the phase transition (Semjen and others 1995Go; Kennerley and others 2002)Go. If the nondominant hand (the left hand in our subjects) tends to be entrained by the dominant (right) one, the variance of the intertap interval of the nondominant hand around the phase transition should be greater than that of the dominant hand. Hence, we used the ratio of the fluctuation of the intertap interval of each hand around the phase transition to evaluate the asymmetric contribution of each hand to the phase transition. Using 4 points around the T value (the nearest point, 2 points before, and 1 point after), the deviation of the intertap interval of each finger from the ideal intertap interval (twice the interbeep interval) was calculated (dev(RI) and dev(LI), in which RI and LI refer to the right and left index fingers, respectively). The laterality index was calculated as follows:

Formula 6(6)
The laterality index can range from –1 to 1; a positive value indicates that near the phase transition the fluctuation of the intertap interval of the right index finger is larger than the left and vice versa. We calculated the laterality index for every trial and averaged all the trials for each subject. Tapping data from the index fingers are presented here. Analyses were also performed on data from the other fingers with similar results.

fMRI Data Analysis

The first 6 volumes of each fMRI session were discarded due to unsteady magnetization, and the remaining 394 volumes per subject were used for the analysis. The data were analyzed using statistical parametric mapping (SPM99; Wellcome Department of Cognitive Neurology, London, UK) (Friston, Ashburner, and others 1995Go; Friston, Holmes, and others 1995Go) implemented in Matlab (Mathworks, Sherborn, Massachusetts). Following the slice-timing correction (Buchel and Friston 1997Go) and realignment of the fMRI data, the 3D high-resolution T1-image was coregistered to the fMRI data using the anatomical T1-weighted image with identical locations to the fMRI data. The parameters for affine and nonlinear transformation into the standard stereotaxic space (Montreal Neurological Institute [MNI] template) (Evans and others 1994Go) were estimated using the 3D high-resolution T1-image with least squares means (Friston, Ashburner, and others 1995Go). The parameters were then applied to the realigned fMRI data. The anatomically normalized fMRI data were filtered using a Gaussian kernel of 6 mm (full width at half maximum) in the x, y, and z axes.

Statistical analysis was conducted at 2 levels. First, individual task-related activation was evaluated. Second, in order to make inferences at the population level, individual data were summarized and incorporated into a random-effect model (Friston and others 1999Go).

Individual Analysis

The fMRI time series data were analyzed using a general linear model (Friston, Holmes, and others 1995Go). Three conditions were included: the parallel mode, the mirror mode, and the phase transition. Neuronal models for all conditions were generated in an event-related fashion: The transition was expressed as delta functions and, hence, had no duration. The parallel and mirror modes were expressed as trains of delta functions with time intervals of 0.2 s. The trains lasted for the variable duration of each activation epoch. Each neuronal model of the delta function or trains of delta functions was convolved with a predefined hemodynamic-response function. The time series of the MR signal of each voxel, Y, was modeled as follows:

Formula 7(7)

Here, {varepsilon} is the statistical error term, and (parallel), (transition), and (mirror) are the time series of hemodynamic response to each of the respective conditions. These 3 independent variables were centered on zero. The frames from after the mirror condition to the start of the next session lasted for approximately 30 s. These frames are not accounted for in the modeled conditions as they were regarded as implicit baselines. Hence, the estimated ß1 and ß3 are measures of the state-related activation, and ß2 represents the transition-related activation. The significance of these effects was tested with the t values formed by dividing the estimated parameters (ß1, ß2, ß3) and their difference (ß3 – ß1) by their estimated standard deviation, with adjustment for temporal autocorrelation. These t values were calculated at each and every voxel, comprising the statistical parametric maps of SPM{t}, which were transformed to a normal distribution SPM{Z}. The statistical threshold for SPM{Z} was set at P < 0.05 corrected for multiple comparisons at the cluster level with a threshold of Z < 3.09 (Friston and others 1996Go).

Group Analysis with the Random-Effect Model

The weighted sum of the parameter estimates in the individual analysis constituted contrast images that were used for the group analysis (Friston and others 1999Go). The contrast images obtained through individual analyses represent the normalized task-related increment of the MR signal of each subject, that is, for the parallel mode, mirror mode, parallel versus mirror conditions, and the transitions between them. A total of 15 subjects with 4 contrasts each were used for the analysis.

We also flipped the contrast image of the phase transition of each subject to evaluate the laterality of the activation map (Harada and others 2004Go). Asymmetric involvement of the neural substrates underlying the transition was depicted by comparing the original and flipped images in a pairwise fashion. Regional activations that were significant at P < 0.05 (corrected for multiple comparisons at the cluster level) were considered.

The activated foci are reported as Montreal Neurological Institute coordinates, with reference to Talairach and Tournoux (1988)Go. The MNI coordinates were transformed to Talairach coordinates through an established formula (http://www.mrc-cbu.cam.ac.uk/Imaging/Common/mnispace.shtml).


    Results
 Top
 Notes
 Abstract
 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
Behavioral Results

In the fMRI experiment, we obtained data from an average of 36 trials (including the spontaneous phase transition; Fig. 1) per subject for statistical analysis (mean ± SD, 36.4 ± 5.53; range, 26–46). The mean time taken to reach the phase transition across all sessions for all subjects was 18.8 ± 4.0 s (range, 13.1–27.1 s). All phase transitions observed in this study were from the parallel to the mirror mode, and once the phase transition occurred, the mirror mode was maintained until the termination of the movement in all trials. The laterality index from the behavioral data around the phase transition (see Materials and Methods) was –0.12 ± 0.045 (P = 0.019; 1-sample t-test). This means that the variance in the phase transition of the left-finger tapping contributed significantly more to the phase transition than that of the right finger. There was no correlation between tapping speed and the laterality index (r = –0.179, P = 0.52). The number of events for left-finger tapping within a 1-s time window around the transition did not significantly differ from that for right-finger tapping (t = –0.164, P = 0.87).

Functional Brain-Imaging Data

In the parallel mode, we found activation in the following areas: the bilateral primary sensorimotor area (SM1), putamen, thalamus, and cerebellum; the right caudal portion of the dorsal premotor cortex (PMdc), inferior frontal gyrus (GFi), and insula; the left ventral premotor cortex (PMv) and inferior parietal lobule (LPi); and the supplementary motor area (SMA), pre-SMA, and cerebellar vermis (Table 1). In the mirror mode, we found bilateral activity in the SM1 and cerebellum and in the right PMdc, left superior temporal gyrus, and SMA (Table 2). When the parallel mode was compared with the mirror mode, more prominent activation was found in the bilateral PMdc, putamen, globus pallidus, thalami, and cerebellum, the right insula, left SM1, and the SMA, pre-SMA, caudal cingulate zone (CCZ), and cerebellar vermis (Table 3). Activity related to the phase transition was observed in the following areas: the bilateral PMv, GFi, middle frontal gyrus (GFm), LPi, insula, and thalamus; the right rostral portion of the PMd (PMdr) and midbrain; the left cerebellum; and the pre-SMA, rostral cingulate zone (RCZ), and CC (P < 0.05 corrected at the cluster level; Table 4; Fig. 2).


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Table 1 Brain regions activated in the parallel contrast

 

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Table 2 Brain regions activated in mirror contrast

 

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Table 3 Brain regions activated in parallel–mirror contrast

 

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Table 4 Brain regions activated in phase-transition contrast

 

Figure 2
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Figure 2. Statistical parametric maps of the enhanced neural activity during the spontaneous phase transition. Activated foci are shown as a pseudocolor fMRI superimposed on a high-resolution anatomical MRI in 31 contiguous transaxial planes with a 4-mm interval, extending from 50 mm below the Anterior Commissure–Posterior Commissure plane (top left) to 70 mm above the AC–PC plane (bottom left). The statistical threshold was P < 0.05 with a correction for multiple comparisons.

 
The phase-transition–related activation map is clearly distinct from the parallel- and mirror-mode maps. Figure 3 illustrates this point. At the level of z = +58 mm, phase-transition–related activation was found in the pre-SMA and the right PMdr, whereas the state-related activation involved mainly the SMA proper and the PMdc (Fig. 3a). There was little overlap between the state- and transition-related activation (yellow, Fig. 3a). Figure 3b shows the activation maps of 3 typical subjects. Figure 3c shows the temporal profile of the brain activity of a typical subject, illustrating that the transition-related activation is distinct from the state-related activation.


Figure 3
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Figure 3. Activation distinctions between the mode- and transition-related conditions. (a) Activation map of group analysis. Areas activated by the parallel mode (green), the phase transition (red), the overlap between the parallel and mirror modes (light blue), and the phase transition and parallel mode (yellow) are superimposed on an axial view (Z = 58 mm in MNI coordinates) of T1-weighted MRI scans unrelated to the subjects of the present study. To clearly illustrate the distinction between, and overlapping of, each contrast, the activation map has no intensity gradation. The statistical threshold for each contrast is P < 0.05 (corrected). The white dashed line indicates the AC line (y = 0 mm). (b) An individual activation map superimposed on an axial view (Z = 58 mm in MNI coordinates) of the T1-weighted MRI of each individual. In addition to the contrasts shown in the group analysis, the mirror mode (dark blue), the overlap between the phase transition and parallel mode (yellow), the phase transition and mirror mode (purple), and all 3 contrasts (white) are also shown. Note that activated areas during the parallel and mirror modes are markedly overlapped, whereas transition-related activity is distinct from the activity during the state-related conditions. (c) The time course of the MR signal of an individual (SD). Areas activated by the parallel mode (green panel); the percentage of MR signal during the parallel mode increased compared with the rest condition and decreased after the transition (0 s; vertical white line). Areas activated by both the parallel and mirror modes (blue panel); the percentage of MR signal constantly increased compared with the rest condition. Areas activated by the phase transition (red panel) revealed a transient increase of the signal at around the phase transition without the state-related activation.

 
Figure 4 shows transition-related activity in the CC. Individual analyses in the present study revealed that the activation in the CC was continuous with that in the medial portion of both hemispheres. This tendency was preserved in the group analysis.


Figure 4
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Figure 4. Phase-transition–related activity of the CC. (a) Statistical parametric maps of the group analysis with a random-effect model (P < 0.05, corrected). Transition-related increases in the MR signal superimposed on sagittal and coronal sections of T1-weighted high-resolution MRIs unrelated to the subjects of the present study. Blue lines indicate the projections of each section that cross at the center of the genu of the CC. (b) Statistical parametric maps of individual analyses (P < 0.05, corrected). Transition-related increases in the MR signal superimposed on sagittal (left column) and coronal sections (middle column) of T1-weighted high-resolution MRIs of each subject. Continuous activation of the bilateral medial walls of both hemispheres through the CC is noted. (Right column) The time courses of the MR signal around the phase transition (0 s; vertical red line) of the cross point of the blue lines in the activation maps.

 
By comparing the flipped image of the phase-transition contrast with the original image, we found that the transition-related activation was right lateralized (Table 5, Fig. 5b); this means that the brain activation during the phase transition was greater in the right cerebral hemisphere than in the left. The right-lateralized pattern did not correlate with the behavioral laterality index (Supplementary Fig. 1).


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Table 5 Asymmetric activation

 

Figure 5
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Figure 5. Laterality in behavior and brain activation. (a) Behavioral laterality indices for individuals (blue) and the group mean ± standard error (n = 15, red). A negative value means that the fluctuations in the intertap interval of the left index finger around the phase transition were greater than those of the right index finger. (b) The asymmetric neural representation of the transition-related activity. The contrast images of the phase transition were compared with those flipped in the horizontal (right–left) direction in a pairwise manner (corrected P < 0.05). The statistical parametric map was superimposed on a sample surface rendered by high-resolution MRI and is also shown in standard anatomical space.

 

    Discussion
 Top
 Notes
 Abstract
 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
In this study, we investigated the neural correlates of the involuntary phase transition in bimanual coordination. By setting the appropriate movement frequency for each subject, the involuntary phase transition to the mirror mode was induced after at least 10 s of parallel-mode movement. Continuous fMRI recording allowed the detection of brain activity before (parallel mode), during, and after (mirror mode) the transition. Phase-transition–related activity was found in the pre-SMA, right PMdr, and the bilateral prefrontal cortex, LPi, and RCZ. This activity was distinct from the state-related activity of the motor execution areas (Sadato and others 1997Go; Stephan, Binkofski, Halsband, and others 1999Go; Stephan, Binkofski, Posse, and others 1999Go; Toyokura and others 1999Go; Immisch and others 2001Go; Debaere and others 2004Go).

Parieto-Premotor-Prefrontal Network

Brodmann area 6 (BA6) can be segregated anatomically and functionally in the rostrocaudal direction in primates (Geyer and others 2000Go). The SMA proper and the PMdc in the caudal portion of BA6 have a closer relationship with M1, have direct corticospinal projections, and are involved primarily in motor execution (Murray and Coulter 1981Go; He and others 1993Go, 1995Go). By contrast, the pre-SMA and the PMdr are closely interconnected with the prefrontal cortex and are responsible for motor planning or preparation (Barbas and Pandya 1987Go; Luppino and others 1993Go; Lu and others 1994Go). The pre-SMA and PMdr are involved with the sensory components of motor tasks (Deiber and others 1991Go, 1997Go; Grafton and others 1998Go; Rijntjes and others 1999Go; Toni and others 1999Go). The pre-SMA is involved in somatosensory temporal discrimination and might play a role in the temporal processing of somatosensory events (Pastor and others 2004Go). Sensory information processing during visuomotor tasks evokes more prominent neural activity in the PMdr than in the PMdc (Weinrich and Wise 1982Go; Johnson and others 1996Go; Shen and Alexander 1997Go). This suggests that the rostral part of BA6 is crucial to the planning of perceptually guided actions.

In the present study, the bimanual movements were initially temporally stable, as both hands in the parallel mode tapped simultaneously. During the transition period, temporal stability was disturbed (Fig. 1b). At the same time, the spatial coordination pattern of the parallel mode was disturbed during the phase transition, and the system was subsequently restored to the more stable mirror mode. Hence, the phase transition can be viewed as the process of restoring temporal and spatial stability using tapping-associated somatosensory and proprioceptive inputs. As the pre-SMA plays a role in timing functions (Ramnani and Passingham 2001Go; Pastor and others 2004Go) and the PMd is involved in spatial functions (Wenderoth and others 2004Go), the pre-SMA might be related to the restoration of the temporal compatibility of the spontaneous coordination phenomenon, whereas the PMdr could be related to the restoration of the spatial compatibility of bimanual coordination.

The posterior parietal cortex (BA7/40) consists of many subdivisions, each of which is involved in particular aspects of visual or somatosensory information processing. The posterior parietal cortex and BA6 are connected in specific patterns and form several frontoparietal circuits (Rizzolatti and others 1998Go; Geyer and others 2000Go). These 2 cortical areas function jointly during cognitive operations and motor control (Deiber and others 1997Go). The pre-SMA and frontoparietal networks between the PMdr and LPi might mediate the spontaneous phase transition.

The transition-related activation that is distinct from motor execution activation might be because our preference for mirror symmetry arises from a preference for perceptual symmetry (Mechsner and others 2001Go; but see also Salter and others 2004Go; Welsh and others 2005Go). Indeed, other spontaneous coordination phenomena exist, such as sensorimotor synchronization (Kelso and others 1990Go) and between-subject coordination (Schmidt and others 1990Go). The spontaneous phase transition in bimanual coordination is, however, different from other spontaneous coordination phenomena as there is a strong constraint derived from the interhemispheric anatomical coupling. Kennerley and others (2002)Go reported that callosotomy patients cannot perform even in-phase bimanual circle drawing, and phase transitions were observed from anti- to in-phase and vice versa, whereas controls made the transition only in the former direction. Therefore, in normal subjects, the interaction of the bilateral hemispheres through the CC is important for the enhanced stability of the in-phase movements. Anatomically, the pre-SMA has callosal connections to its contralateral counterpart and to the PMdr and PMv, which are involved in interhemispheric interaction (Liu and others 2002Go). Hence, the pre-SMA and PMdr might be involved in interhemispheric interaction during the spontaneous phase transition.

Anterior Cingulate Cortex and CC

We also found transition-related activation in the RCZ (Picard and Strick 1996Go) extending to the CC. The RCZ is located in rostral BA24 and BA32, rostral to the CCZ in BA24 near the Vca line (a vertical line traversing the posterior margin of the anterior commissure). The CCZ in humans corresponds to the dorsal cingulate motor area (CMAd) of monkeys. The RCZ of humans is tentatively associated with the rostral cingulate motor area (CMAr) and ventral cingulate motor area (CMAv) (Picard and Strick 1996Go). The RCZ is involved in higher order aspects of motor behavior, whereas the CCZ is activated by somatosensory stimulation and during simple motor tasks. Callosal connections between the left and right cingulate cortex have been well documented in monkeys (Pandya and Seltzer 1986Go) and humans (Locke and Yakovlev 1965Go). The CMAr and CMAv radiate to the prefrontal cortex but not to the CMAd (Bates and Goldman-Rakic 1993Go). Correspondingly, an association between the activation in the RCZ and prefrontal cortex has been observed in human functional neuroimaging studies (Picard and Strick 1996Go). Despite the anatomical and functional differences among the various motor areas in the medial frontal cortex (Vogt and others 1995Go; Zilles and others 1995Go; Picard and Strick 1996Go), the medial frontal cortex appears to represent a functional unit that allows various medial motor areas to participate flexibly in the motor task (Stancak and others 2003Go). The recruitment of callosal fibers obviously contributes to the integration of the left and right medial frontal cortices capable of eliciting right or left unilateral or bilateral movements (Tanji and others 1988Go). Stancak and others (2003)Go reported that in neurologically healthy human subjects the size of the CC correlates positively with the activity registered in cingulate cortical areas during both unimanual and bimanual movements. This finding supports the existence of high-level cross talk through the nonprimary motor areas and the CC.

The CC activation during the involuntary phase transition was unexpected because white matter activation has seldom been reported in previous fMRI studies. The blood oxygenation level dependent (BOLD) signal reflects local field potentials rather than spiking (Logothetis and others 2001Go); as the former are caused by excitatory neurotransmission in postsynaptic extensions (dendrites), the BOLD signal changes in gray matter reflect synaptic activity (Raichle 1987Go). Even in white matter, however, glucose metabolism is tightly coupled with cerebral blood flow (Weber and others 2002Go). Hence, a task-related increase in blood flow (and a BOLD signal increase in fMRI) is possible, at least theoretically. Task-related CC activation has been reported previously (Tettamanti and others 2002Go). Regarding putative mechanisms of CC activation, Tettamanti and others (2002)Go raised several possibilities, such as the reverse transport of glutamate in axons (Chiu and Kriegler 1994Go) and axo-axonal coupling (Schmitz and others 2001Go). Although differences in perfusion, and consequently in the BOLD signal, between the rest and activation states are normally much smaller in white than in gray matter (Preibisch and Haase 2001Go), the increased demand for axonal communication through the CC is sufficient to induce increases in local metabolism (Tettamanti and others 2002Go). Therefore, the activation of the CC in this study might partly represent transient interhemispheric interaction.

Asymmetric Transition-Related Activation

We found right-dominant activity in the PMdr, LPi, and dorsolateral prefrontal cortex (DLPFC) in the phase transition condition. At the behavioral level, the spontaneous phase transition was asymmetrical, such that the left-finger tapping was attracted to the phase of the right-finger tapping. Hence, the critical question is whether the lateralized activation network is specific to phase transitions per se or if it is related to the phase transition through one particular hand. First, the behavioral laterality index is not particularly high for strongly right-handed subjects (handedness index > 0.8). This implies that the behavioral asymmetry is influenced not only by hemispheric laterality but also by other musculoskeletal factors (Byblow and others 1994Go). Second, there is no significant correlation between the laterality of the neural activation and the behavioral laterality index. In fact, the subjects with a tendency for the right fingers to disrupt the spatial and temporal consistency also showed the right-lateralized activation pattern; hence, the phase transition does not necessarily involve a change in the performance of the left hand. We therefore conclude that the asymmetric activation might be related to the phase transition itself.

Clinical and imaging studies have indicated left-hemisphere dominance in the representation of motor skill. Patients with ideomotor limb apraxia showed evidence of damage lateralized to a left-hemispheric network involving the GFm and the intraparietal sulcus region (Haaland and others 2000Go). Patients with lesions restricted to the parietal cortex were found to be selectively impaired at using mental imagery to predict the time necessary to perform differentiated finger movements and visually guided pointing gestures. This suggests that the parietal cortex is important for the ability to generate mental representations of movements (Sirigu and others 1996Go). Left-parietal damage led to the desynchronization of bimanual movement trajectories, and this was most apparent during the performance of parallel movement patterns (Serrien and others 2001Go). As the neural substrates of these examples of motor planning are left lateralized and upstream of M1, the high-level cross talk is likely to be driven from the left to the right hemisphere.

A previous electroencephalogram (EEG) study revealed that in bimanual movement the drive in the ß-band frequency of the EEG from the dominant to the nondominant hemisphere prevailed (Serrien and others 2003Go). Right-lateralized activation in the phase transition might be related to a transient increase in the drive from left to right. As the hemodynamic response correlates with the local field potentials, the right-lateralized activation found in the present study probably reflects the incoming input and local processing (Logothetis and others 2001Go). Thus, the right-lateralized activity of frontoparietal areas might represent the asymmetrical interhemispheric interaction driven from left to right during the phase transition.

In summary, the present study tested the cross-talk model of bimanual coordination in order to identify the connection between large-scale brain dynamics and behavior. The neural substrates of the spontaneous phase transition during bimanual finger tapping seem to be upstream of the cortical areas for bimanual motor execution. These anatomical regions are distributed in both hemispheres, probably interacting though the CC. The transition-related activation was right lateralized, reflecting the left-lateralized common motor program. Finally, in parallel with the behavioral changes, extensive cortical involvement during the phase transition represents the characteristics of a nonlinear system, such that minute changes to the state result in large-scale alterations. Similar mechanisms might also operate in other complex movements that require coordination between their components; thus, these results contribute to our understanding of motor coordination in general.


    Supplementary Material
 Top
 Notes
 Abstract
 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
Supplementary material can be found at: http://www.cercor.oxfordjournals.org/.


    Notes
 Top
 Notes
 Abstract
 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
Funding to pay the Open Access publication charges for this article was provided by Grant in Aid for Scientific Research S#17100003 from the Japan Society for the Promotion of Science.


    Acknowledgments
 
This study was supported, in part, by Grant in Aid for Scientific Research B#14380380 (NS) and S#17100003 (NS) from the Japan Society for the Promotion of Science and by Grant in Aid for Scientific Research 018#17021045 (NS) from the Ministry of Education, Culture, Sports, Science and Technology of the Japanese Government. The authors would like to thank H. Tanabe, D. Saito, and Y. Yamamoto for their help with data acquisition.


    References
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 Notes
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 Introduction
 Materials and Methods
 Results
 Discussion
 Supplementary Material
 References
 
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